Question

Please find the values for m and b such that function f is continuous and differentiable?

Please find the values for m and b such that function f is continuous and differentiable.

Answer 1

`m=-x`

`b=4`

Explanation:

.

For the function to be continuous and differentiable, it can not be a piecewise function such as the one shown. This means that the type of the function can not change.

Currently, the first piece is a parabola and the second piece is a straight line.

We set the two pieces equal to each other:

`4-x^2=mx+b`

`m=-x`

`b=4`